Answer:
Option D
∠GDE is supplementary to ∠DEF and also supplementary to ∠FGD
Step-by-step explanation:
To use the supplementary property to identify a parallelogram. The condition must be that that the same-side interior angles (consecutive angles) are supplementary.
Thus for parallelogram DEFG
D --------------------E
/ /
G---------------------F
Thus, we have it that the condition that is most sufficient to show that quadrilateral DEFG is a parallelogram is
∠GDE is supplementary to both ∠DEF and ∠FGD
The mean average of push ups Sasha does in 5 days is 26.2.
<h3>Mean average</h3>
- Number of days = 5
- Day 1 = 22 push ups
- Day 2 = 36 push ups
- Day 3 = 21 push ups
- Day 4 = 25 push ups
- Day 5 = 27 push ups
Mean average = Total push ups done / number of days
= (22 + 36 + 21 + 25 + 27) / 5
= 131 / 5
= 26.2
Therefore, the mean average of push ups Sasha does in 5 days is 26.2.
Learn more about mean average:
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<span>If
Ellen deposited 6 773 dollars in her account and did not withdraw any amount
for 7 years.
Then she will earn this amount.
=> 1% interest rate per year
=> first year = 6 773 x .01 = 67.73
=> 6773 + 67.73 = 6840.73
=> Second year = 6840.76 * .01 = 68.4073
=> 68.4073 + 6840.76 = 6909.1673
=> Third year = 6909.1673 * .01 = 69.09
=> 6909.1673 + 69.09 = 6978.26
=>4th year = 6978.26 * .01 = 69.78
=> 6978.26 + 69.78 = 7004
=> 5th year = 7004 *.01 = 70.04
=> 7004 + 70.04 = 7074.04
=> 6th year = 7074.04 * .01 = 70.74
=> 70.74 + 7074.04 = 7144.78
=> 7th year = 7144.78 *.01 = 74.45
=> 7144.78 + 74.45 = 7216.23</span>
"Why?" in math has various meanings.
Let's solve
5x +1 > 4x + 1
That's easily solved,
5x - 4x > 1 - 1
x > 0
Since x>1 is included in x>0, it's in the solution set to the above inequality, so all such x make the inequality true.
